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Simplifying
5x2 + -16 = -1x2 + 80
Reorder the terms:
-16 + 5x2 = -1x2 + 80
Reorder the terms:
-16 + 5x2 = 80 + -1x2
Solving
-16 + 5x2 = 80 + -1x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x2' to each side of the equation.
-16 + 5x2 + x2 = 80 + -1x2 + x2
Combine like terms: 5x2 + x2 = 6x2
-16 + 6x2 = 80 + -1x2 + x2
Combine like terms: -1x2 + x2 = 0
-16 + 6x2 = 80 + 0
-16 + 6x2 = 80
Add '16' to each side of the equation.
-16 + 16 + 6x2 = 80 + 16
Combine like terms: -16 + 16 = 0
0 + 6x2 = 80 + 16
6x2 = 80 + 16
Combine like terms: 80 + 16 = 96
6x2 = 96
Divide each side by '6'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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